2—D与3—D横向各向同性介质中地震波动方程的解耦

Decoupling of Seismic Motion Equations in 2—D and 3—D Transversely Isotropic Media

在2-D横向各向同性介质中,似P波与似SV波耦合;3-D介质中,似P波与似SV波及似SH波均耦合于偏微分波动方程组中,为便于2-D与3-D横向各向同性介质中震波激发以及地震记录合成研究,本文首先对波动方程组本身进行了讨论,进而分别研究了二维与三维横向各向同性介质中波动方程组的解耦问题,得到了解耦后的关于位移分量偏微分方程。

In 2—D TIM (Transversely lsotropic Media), quasi—P wave and quasi—SV were coupled. In 3—D TIM, quasi—P wave, quasi—SV wave and quasi—Sh wave were coupled in partial differential motion equations. For the convenience of studying the seismic record and stimulating seismic wave in 2—D and 3—D TIM, this paper analyses the motion equations first, and then studies the decoupling of seismic motion equations in 2—D and 3—D TIM, respectively, and has obtained the decoupled partial differential equation of displacement component.